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Finding the Fourth Proportional to 48,150, 66,520.32 and 38,480.40

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Solution

The fourth proportional to 48,150, 66,520.32 and 38,480.40 is: 53,161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,150 : 66,520.32 = 38,480.40 : x
  2. Step 2: Convert to fraction form
    48,150/66,520.32 = 38,480.40/x
  3. Step 3: Cross multiply
    48,150x = 66,520.32 × 38,480.40
  4. Step 4: Simplify right side
    48,150x = 2,559,728,521.73
  5. Step 5: Solve for x
    x = 2,559,728,521.73/48,150
  6. Step 6: Final answer
    x = 53,161.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.